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Finding the Fourth Proportional to 521,097.60, 781,689.60 and 166,101.60

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Solution

The fourth proportional to 521,097.60, 781,689.60 and 166,101.60 is: 249,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,097.60 : 781,689.60 = 166,101.60 : x
  2. Step 2: Convert to fraction form
    521,097.60/781,689.60 = 166,101.60/x
  3. Step 3: Cross multiply
    521,097.60x = 781,689.60 × 166,101.60
  4. Step 4: Simplify right side
    521,097.60x = 129,839,893,263.36
  5. Step 5: Solve for x
    x = 129,839,893,263.36/521,097.60
  6. Step 6: Final answer
    x = 249,166.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.